Extension of formal conjugations between diffeomorphisms

We study the formal conjugacy properties of germs of complex analytic diffeomorphisms defined in the neighborhood of the origin of ${\mathbb C}^{n}$. More precisely, we are interested on the nature of formal conjugations along the fixed points set. We prove that there are formally conjugated local diffeomorphisms $\phi, \eta$ such that every formal conjugation $\hat{\sigma}$ (i.e. $\eta \circ \hat{\sigma} = \hat{\sigma} \circ \phi$) does not extend to the fixed points set $Fix (\phi)$ of $\phi$, meaning that it is not transversally formal (or semi-convergent) along $Fix (\phi)$. We focus on unfoldings of 1-dimensional tangent to the identity diffeomorphisms. We identify the geometrical configurations preventing formal conjugations to extend to the fixed points set: roughly speaking, either the unperturbed fiber is singular or generic fibers contain multiple fixed points.Comment: 34 page

Derived length of solvable groups of local diffeomorphisms

Let $G$ be a solvable subgroup of the group \diff{}{n} of local complex analytic diffeomorphisms. Analogously as for groups of matrices we bound the solvable length of $G$ by a function of $n$. Moreover we provide the best possible bounds for connected, unipotent and nilpotent groups.Comment: 27 page

Caridad

Avaro Judas a Jesús traiciona; Pedro cobarde a su maestro niega; Débil Pilatos a la muerte entrega..

MINTE: Semantically integrating RDF graphs

The nature of the RDF data model allows for numerous descriptions of the same entity. For example, different RDF vocabularies may be utilized to describe pharmacogenomic data, and the same drug or gene is represented by different RDF graphs in DBpedia or Drugbank. To provide a unified representation of the same real-world entity, RDF graphs need to be semantically integrated. Semantic integration requires the management of knowledge encoded in RDF vocabularies to determine the relatedness of different RDF representations of the same entity, e.g., axiomatic definition of vocabulary properties or resource equivalences. We devise MINTE, an integration technique that relies on both: knowledge stated in RDF vocabularies and semantic similarity measures to merge semantically equivalent RDF graphs, i.e., graphs corresponding to the same real-world entity. MINTE follows a two-fold approach to solve the problem of integrating RDF graphs. In the first step, MINTE implements a 1-1 weighted perfect matching algorithm to identify semantically equivalent RDF entities in different graphs. Then, MINTE relies on different fusion policies to merge triples from these semantically equivalent RDF entities. We empirically evaluate the performance of MINTE on data from DBpedia, Wikidata, and Drugbank. The experimental results suggest that MINTE is able to accurately integrate semantically equivalent RDF graphs

Multicentre laboratory validation of the colorimetric redox indicator (CRI) assay for the rapid detection of extensively drug-resistant (XDR) Mycobacterium tuberculosis

Objectives To perform a multicentre study to evaluate the performance of the colorimetric redox indicator (CRI) assay and to establish the MICs and critical concentrations of rifampicin, isoniazid, ofloxacin, kanamycin and capreomycin. Methods The study was carried out in two phases. Phase I determined the MIC of each drug. Phase II established critical concentrations for the five drugs tested by the CRI assay compared with the conventional proportion method. Results Phase I: a strain was considered resistant by the CRI assay if the MIC was >/=0.5 mg/L for rifampicin, >/=0.25 mg/L for isoniazid, >/=4.0 mg/L for ofloxacin and >/=5.0 mg/L for kanamycin and capreomycin. Sensitivity was 99.1% for isoniazid and 100% for the other drugs and specificity was 97.9% for capreomycin and 100% for the other drugs. Phase II: the critical concentration was 0.5 mg/L for rifampicin, 0.25 mg/L for isoniazid, 2.0 mg/L for ofloxacin and 2.5 mg/L for kanamycin and capreomycin giving an overall accuracy of 98.4%, 96.6%, 96.7%, 98.3% and 90%, respectively. Conclusions Results demonstrate that the CRI assay is an accurate method for the rapid detection of XDR Mycobacterium tuberculosis. The CRI assay is faster than the conventional drug susceptibility testing method using solid medium, has the same turnaround time as the BACTEC MGIT 960 system, but is less expensive, and could be an adequate method for low-income countries